What is 1.3365 as a fraction?

Numbers can be represented in a variety of ways including percentages, decimals, and fractions. The ability to convert any number from one format to another is an important math skill to have. These skills are typically thought in fifth grade math and require an understanding of place values and Greatest Common Factor (GCF).

In this article, we teach those skills step by step while demonstrating how to convert decimal 1.3365 into a fraction.

Answer: 1.3365 as a fraction equals 13365/10000 or 2673/2000

Here is the solution for converting 1.3365 to a fraction:

Step 1:

First, we write 1.3365 as  
1.3365/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point. Remember the numerator is the top part of the fraction and the denominator is the bottom part!
1.3365/1
  =  
1.3365 x 10000/1 x 10000
  =  
13365/10000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 13365 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 13365 are: 1  3  5  9  11  15  27  33  45  55  81  99  135  165  243  297  405  495  891  1215  1485  2673  4455  13365 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 13365 and 10000 that gives us a GCF value of: 5

Step 4:

For the last step we reduce the fraction. This just means writing the fraction in the simplest way. To do this we divide both the numerator and denominator by the GCF value we determined in step 3.
13365/10000
  =  
13365 ÷ 5/10000 ÷ 5
  =  
2673/2000


Good work! We have just walked through the steps on how to represent 1.3365 as a fraction.

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